To find the surface area of an oblique cylinder, we need to calculate the curved surface area (CSA) and the area of the two circular bases.
1. Curved Surface Area (CSA):
The formula for the curved surface area of a cylinder is:
CSA = 2 * π * r * h
In this case, the radius (r) is 5 cm and the height (h) is 15 cm:
CSA = 2 * 3.14 * 5 * 15
CSA = 471 cm²
2. Area of the two circular bases:
The formula for the area of a circle is:
Area = π * r²
Since we have two circular bases, we need to calculate the area of both:
Area = 3.14 * 5²
Area = 3.14 * 25
Area = 78.5 cm²
3. Total Surface Area:
To find the total surface area, we add the CSA and the area of the two bases:
Total Surface Area = CSA + 2 * Area
Total Surface Area = 471 + 2 * 78.5
Total Surface Area = 471 + 157
Total Surface Area = 628 cm²
Therefore, the surface area of the oblique cylinder is 628 square centimeters.
Use the image to answer the question.
An oblique cylinder is labeled with a height of 15 centimeters and radius 5 centimeters.
Find the surface area of the cylinder below. Use the approximation 3.14 for pi.
1 answer